813205327 has 32 divisors (see below), whose sum is σ = 951367680. Its totient is φ = 688101120.

The previous prime is 813205321. The next prime is 813205333. The reversal of 813205327 is 723502318.

813205327 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (813205321) and next prime (813205333).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-813205327 is a prime.

It is a super-2 number, since 2×813205327² = 1322605807722353858, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813205321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1094118 + ... + 1094860.

It is an arithmetic number, because the mean of its divisors is an integer number (29730240).

Almost surely, 2^813205327 is an apocalyptic number.

813205327 is a deficient number, since it is larger than the sum of its proper divisors (138162353).

813205327 is a wasteful number, since it uses less digits than its factorization.

813205327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903.

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 813205327 is about 28516.7551976027. The cubic root of 813205327 is about 933.3977255602.

The spelling of 813205327 in words is "eight hundred thirteen million, two hundred five thousand, three hundred twenty-seven".